5761455 · 2551907 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:5761455 · 2551907 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):g393 : Tamai, NewPGen, PRP, Proth.exe
Decimal Digits:166148   (log10 is 166147.322349095)
Rank (*):31105 (digit rank is 1)
Entrance Rank (*):349
Currently on list? (*):no
Submitted:9/23/2005 21:07:31 CDT
Last modified:9/23/2005 22:13:24 CDT
Removed (*):9/30/2010 08:20:21 CDT
Database id:75690
Status Flags:none
Score (*):41.1176 (normalized score 0.0544)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/llr.pl 5761455*2^551907-1 2>&1
Starting Lucas Lehmer Riesel prime test of 5761455*2^551907-1
V1 = 9 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
5761455*2^551907-1 is prime! Time : 3023.734 sec.
[Elapsed time: 3024 seconds]
modified2005-09-26 07:46:26
created2005-09-23 21:23:00

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.